Supposing we have as 2 vector fields:

$\displaystyle F = x^2i + 2zj +3k $

and

$\displaystyle G = r^2e_r + 2\cos\Theta e_{\Theta} + 3\sin(2\phi) e_\phi $

how do i perform the following operations on them?

- $\displaystyle F\cdot r $

- $\displaystyle F\times r $

- |G|

- $\displaystyle G\cdot r $